Solve the problem.Suppose that a continuous random variable has a joint probability density function given byf(x, y) = y2 - 2y + xy - x + , 1 ? x ? 5, 0 ? y ? 1 Find the probability that a point is in the region bounded by 3 ? x ? 5 and 0 ? y ? 1.

A.
B.
C.
D.


Answer: D

Mathematics

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Determine whether F is conservative.F = 8x7y8i +  j -  k

A. conservative B. not conservative

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Find the first term and the common ratio of the geometric sequence., . . .

A. a1 = , r = 
B. a1 = , r = 6
C. a1 = , r = 
D. a1 = , r = 

Mathematics

Solve the equation. Express radicals in simplest form.(4z - 1)2 = 

A.  
B. , -  
C. 3, -1
D. , -  

Mathematics

Solve the problem.At Allied Electronics, production has begun on the X-15 Computer Chip. The total revenue function is given by and the total cost function is given by , where x represents the number of boxes of computer chips produced. The total profit function, P(x), is such that . Find P(x).

A. P(x) = 0.3x2 + 34x - 30 B. P(x) = -0.3x2 + 42x - 10 C. P(x) = 0.3x2 + 42x - 20 D. P(x) = -0.3x2 + 34x + 10

Mathematics